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Stability Bounds for Synchronized Chaos

AIP Conference Proceedings, 2003
Synchronization of coupled chaotic systems has found applications in a variety of fields including communications, optics, neural networks and geophysics. An essential prerequisite for these applications is to know the bounds on the coupling strengths so that the stability of the synchronous state is ensured.
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MASTER STABILITY FUNCTIONS FOR SYNCHRONIZED COUPLED SYSTEMS

International Journal of Bifurcation and Chaos, 1998
We show that many coupled oscillator array configurations considered in the literature can be put into a simple form so that determining the stability of the synchronous state can be done by a master stability function which solves, once and for all, the problem of synchronous stability for many couplings of that oscillator.
Louis M. Pecora, Thomas L. Carroll
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Absolute Stability Theory and the Synchronization Problem

International Journal of Bifurcation and Chaos, 1997
Several results on synchronization by Pecora and Carroll [1991], Cuomo and Oppenheim [1993] and Wu and Chua [1994] are evaluated in the context of absolute stability theory, with significant generalizations being achieved. A robustness property of the resulting synchronization criteria is established.
Curran, P. F., Chua, L. O.
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Synchronous municipal sewerage-sludge stabilization.

Journal of environmental sciences (China), 2005
A study on a pilot plant accomplishing synchronous municipal sewerage-sludge stabilization was conducted at a municipal sewerage treatment plant. Stabilization of sewerage and sludge is achieved in three-step process: anaerobic reactor, roughing filter and a microbial-earthworm-ecofilter.
Godefroid, Bukuru, Yang, Jian
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Absolute Stability Theory and Master-Slave Synchronization

International Journal of Bifurcation and Chaos, 1997
In this note we indicate the manner in which synchronization criteria may be developed for master-slave connected Lur'e systems. For flexibility we incorporate linear, static state feedback. The criteria presented are based on the generation of Lur'e–Postnikov type Lyapunov functions for the error system.
Curran, P. F.   +2 more
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Self-stabilization of synchronously mode-locked lasers

Optics Letters, 1990
An empty and highly attenuating external cavity was recently shown to have a powerful stabilizing influence on a synchronously mode-locked laser. Numerical simulations presented here demonstrate how this stabilization technique works. For an external cavity marginally shorter than the main cavity, the extremely weak reinjected signal isolates the mode ...
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Time-Synchronized Stability

2022
Dongyu Li, Shuzhi Sam Ge, Tong Heng Lee
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PLL Synchronization Stability of Grid-Connected Multiconverter Systems

IEEE transactions on industry applications, 2021
Xiuqiang He, H. Geng
semanticscholar   +1 more source

Restricted Partial Stability and Synchronization

IEEE Transactions on Circuits and Systems I: Regular Papers, 2014
Hancock, EJ, Hill, DJ
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